Tuesday, January 29, 2013

1301.6569 (Alexander Alldridge et al.)

Superbosonisation via Riesz superdistributions    [PDF]

Alexander Alldridge, Zain Shaikh
The superbosonisation identity of Littelmann-Sommers-Zirnbauer is a new tool to study universality of random matrix ensembles via supersymmetry, which is applicable to non-Gaussian invariant distributions. In this note, we identify the right-hand side with a super-generalisation of the Riesz distribution. Using the Laplace transformation and tools from harmonic superanalysis, we give a short and conceptual new proof of the formula.
View original: http://arxiv.org/abs/1301.6569

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